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Day 47: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Trigonometric Ratios and Identities. Asked 2 times: CDS 2 2025, CDS 2 2026 See all 2 times it was asked

    43
    If 8sin⁡θ−cos⁡θ=48\sin\theta - \cos\theta = 4, where π6<θ<π3\frac{\pi}{6} < \theta < \frac{\pi}{3}, then what is sin⁡θ\sin\theta equal to ?

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  2. Question 2

    Circles. Asked 2 times: CDS 1 2018*, CDS 1 2026 (* = numbers or wording changed that year) See all 2 times it was asked

    63
    A triangle PQR is inscribed in a circle with its centre at O. A tangent PT is drawn at P such that ∠QPT=36∘\angle QPT = 36^\circ. What is ∠POQ\angle POQ equal to ?

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  3. Question 3

    Mensuration 2D. Asked 2 times: CDS 1 2022*, CDS 1 2026 (* = numbers or wording changed that year) See all 2 times it was asked

    51
    The perimeter of a right-angled isosceles triangle is 20 units. If α\alpha is the area of the triangle, then

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  4. Question 4

    Mensuration 3D. Asked 2 times: CDS 2 2022*, CDS 1 2026 (* = numbers or wording changed that year) See all 2 times it was asked

    66
    A metallic sheet of rectangular shape is 48 cm ×\times 36 cm. From each corner a square of side x cm is cut off and an open box is made of the remaining sheet. If the box holds 5.12 litre of water, then what is the value of x ?

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  5. Question 5

    Number System. Asked 2 times: CDS 1 2020*, CDS 1 2026 (* = numbers or wording changed that year) See all 2 times it was asked

    24
    Let N be the greatest number that will divide 600, 631 and 724, leaving the same remainder. What is the value of N ?

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